Order Relations, Convexities, and Jensen's Integral Inequalities in Interval and Fuzzy Spaces
Nenhuma Miniatura disponível
Data
2018-01-01
Autores
Costa, Tiago Mendonca da
Chalco-Cano, Yurilev
Barros, Laecio Carvalho de
Silva, Geraldo Nunes [UNESP]
Barreto, G. A.
Coelho, R.
Título da Revista
ISSN da Revista
Título de Volume
Editor
Springer
Resumo
This study presents new interval and fuzzy versions of the Jensen's integral inequality, which extend the classical Jensen's integral inequality for real-valued functions, using Aumann and Kaleva integrals. The inequalities for interval-valued functions are interpreted through the preference order relations given by Ishibuchi and Tanaka, which are useful for dealing with interval optimization problems. The order relations adopted in the space of fuzzy intervals are extensions of those considered the interval spaces.
Descrição
Palavras-chave
Jensen's integral inequality, Interval-valued functions, Fuzzy-interval-valued functions
Como citar
Fuzzy Information Processing, Nafips 2018. Berlin: Springer-verlag Berlin, v. 831, p. 450-463, 2018.